Radius over time with and without mixing. The simulations with mixing are shown in dark colors, while the simulations without mixing are shown in light colors. The solid lines represent the models with a wide composition gradient, while the dotted lines represent the model with a narrow composition gradient. The blue color indicates a cold start, while the yellow color indicates a hot start. The simulations for this plot assume M_p = 10 M_⊕, a wide gradient, and Cond-1.